Maths question from Panchayat Secretary (VLW) exam, 2025 by JKSSB
A car moving from Bangalore to Chennai takes “x” hours to cover the distance at a speed of 40 kmph. It takes 3 hours more if its speed is reduced by 10 kms. What is the distance from Bangalore to Chennai?
Last updated Jun 13, 2026
Correct Answer:
Option C —
360 Kms
We can solve this by looking at the relationship between speed, time, and distance:
First Case: The car travels at a speed of 40 kilometers per hour for x hours. This means the distance equals 40 multiplied by x.
Second Case: The speed is reduced by 10 kilometers per hour, so the new speed is 30 kilometers per hour (40 minus 10). The time taken increases by 3 hours, so the new time is x plus 3 hours. This means the distance equals 30 multiplied by (x plus 3).
Since the actual distance between Bangalore and Chennai is the same in both scenarios, we can set them equal to each other:
40 multiplied by x equals 30 multiplied by (x plus 3)
40 times x equals 30 times x plus 90
Subtracting 30 times x from both sides leaves us with 10 times x equals 90
Dividing 90 by 10 gives x equals 9 hours.
Now, to find the total distance, we multiply the original speed by the time:
40 kilometers per hour multiplied by 9 hours equals 360 kilometers.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
